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Finding the Third Proportional to 745,419 and 1,637,280

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Solution

The third proportional to 745,419 and 1,637,280 is: 3,596,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,419 : 1,637,280 = 1,637,280 : x
  2. Step 2: Convert to fraction form
    745,419/1,637,280 = 1,637,280/x
  3. Step 3: Cross multiply
    745,419x = 1,637,280 × 1,637,280
  4. Step 4: Simplify right side
    745,419x = 2,680,685,798,400
  5. Step 5: Solve for x
    x = 2,680,685,798,400/745,419
  6. Step 6: Final answer
    x = 3,596,213.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.